Question

Find the 5th term of 8/9 ,-4/3 ,2​

Answer 1

`(9)/(2)`

Explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r =
`(-(4)/(3) )/((8)/(9) )` =
`(2)/(-(4)/(3) )` = -
`(3)/(2)`

This indicates the sequence is geometric.

To obtain the next term multiply the previous term by r, that is

a₄ = 2× -
`(3)/(2)` = - 3

a₅ = - 3 × -
`(3)/(2)` =
`(9)/(2)`